A294282 Integers with precisely four partitions into sums of four squares of nonnegative numbers.

34, 36, 42, 45, 49, 57, 61, 63, 65, 67, 68, 69, 77, 78, 83, 87, 94, 107, 116, 119, 136, 144, 168, 272, 312, 376, 464, 544, 576, 672, 1088, 1248, 1504, 1856, 2176, 2304, 2688, 4352, 4992, 6016, 7424, 8704, 9216, 10752, 17408, 19968, 24064, 29696, 34816, 36864, 43008, 69632, 79872, 96256

Offset: 1

Author

Robert Price, Oct 26 2017

Keywords

• nonn

Comments

A002635(a(n)) = 4.

Links

• D. H. Lehmer, On the Partition of Numbers into Squares, The American Mathematical Monthly, Vol. 55, No.8, October 1948, pp. 476-481.
• Index entries for sequences related to sums of squares

Crossrefs

Cf. A002635, A006431, A180149, A245022.

Programs

Mathematica

f[n_]:=Length@PowersRepresentations[n, 4, 2]; Select[Range@850, f@#==4 &] (* Vincenzo Librandi, Oct 28 2017 *)